Answer:
x= 8.5, 2x=17, (9x+5)=81.5
Step-by-step explanation:
since the sum of the interior angles of a triangle is 180 degrees, you must add all of the angles and set them equal 180:
next distribute the 2 to 9x + 5.
next combine like terms (2x and 18x) and subtract 10 from 180.
finally, divide 170 by twenty.
the final answer is x=8.5
once x is determined, you can solve 2x and 9x+5.
Answer:
Perimeter is 35 units.
Step-by-step explanation:
A heptagon has 7 equal sides.
Given the length of two consecutive vertices, A(-2-5) and B(1,-9).
We can find the length of AB and multiply by 7.
Recall the distance formula;
The length of AB is
Therefore the perimeter is .
Answer:
ST = 4
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.
ST = PQ substitute values
- 32 + 9x = (- 5x + 28) ← multiply both sides by 2 to clear the fraction
- 64 + 18x = - 5x + 28 (add 5x to both sides )
- 64 + 23x = 28 ( add 64 to both sides )
23x = 92 ( divide both sides by 23 )
x = 4
Then
ST = - 32 + 9x = - 32 + 9(4) = - 32 + 36 = 4